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Scilla [17]
3 years ago
6

If f(n) = n 2 - n, then f(-4) is

Mathematics
1 answer:
DiKsa [7]3 years ago
5 0

Answer:

f(-4)   =20

Step-by-step explanation:

f(-4) =  (4)^{2} +4 ( Insert -4 in)

f(-4) = 16+4

f(-4)   =20

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Find all real solutions of the equation by completing the square. (Enter your answers as a comma-separated list.) x2 − 4x − 8 =
Nat2105 [25]

Answer:

After completing the square the expression is (x-2)^2 -12 =0 and real solution are x = 5.46 and x = -1.46

Step-by-step explanation:

We need to complete the square:

x^2 − 4x − 8 = 0

x^2 -2(x)(2)+(2)^2 -8 -4 =0

(x^2 -4x +4) - 12 = 0

(x-2)^2 -12 =0

Now, finding the value of x

(x-2)^2 -12 =0

(x-2)^2 = 12

taking square root on both sides

\sqrt{(x-2)^2}= \sqrt{12} \\(x-2) = \pm\sqrt{12} \\x = \pm\sqrt{12} +2\\x = \sqrt{12}+2 \,\,and\,\,x=-\sqrt{12}+2\\x= 3.46+2 \,\,and\,\,x=-3.46+2\\x =5.46\,\,and\,\,x=-1.46

So, After completing the square the expression is (x-2)^2 -12 =0 and real solution are x = 5.46 and x = -1.46

5 0
3 years ago
When 9 is subtracted from a number then divided by 2, the answer is 4. What is the number?
Fantom [35]
(x-9):2=4 \\\\ x-9=4*2 \\\\ x-9=8 \\\\ x=8+9 \\\\ \boxed{x=17}
5 0
3 years ago
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Which property explains how we get the equation shown in step 2? Given: -5(x -4) - 20 = -15 Step 1: -5x + 20 -20 = -15 (Distribu
Talja [164]
Step 2: <span>Inverse Property of Addition
</span><span>any number added to its opposite will equal zero
</span>in this case + 20 - 20 = 0

answer
Inverse Property of Addition
8 0
3 years ago
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I NEED AN ANSWER ASAP GIVING 20 POINTS FOR IT!!
DanielleElmas [232]
It’s 60 4x6=24x 2.5=60
4 0
3 years ago
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Will give brainiest! Please help!
IrinaK [193]

Answer:

The ratio of salmon to total fish caught is 9 over 25.

Step-by-step explanation:

Start with what we know. We have 200 total fish caught and 36% are salmon. The rest is just mumble jumble so don't pay attention to that.

All we have to do is find 36% of 200, and the easiest way to do that is by first knowing that 36% of 100 is 36 so if we double that it will give us 36% of 200.

36 x 2 = 72

So, the ratio of salmon to total fish caught is 72 over 200. But, in simplest form is 9 over 25 because 72/200 divided by 4/4 = 9/25.

Hope this helps! If you have any additional questions please don't hesitate tp ask me or your teacher to be sure you really master this subject. Stay safe and please mark brainliest!

8 0
3 years ago
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